How are you doing? Have you picked up anything from my earlier posts?
Once you've gone through them, I've a suggested plan of action.
Only see your doctor if he or she is someone you've known for awhile and will help you without getting into medication. You're just going through a rough patch of growing pains at this point. The above is right on about the best thing being talking to a counselor who can help you navigate this part of your life and help you learn to be more relaxed and secure. You don't want to turn this into a medical situation at this point. Patience.
clearly, you've developed social anxiety
a) may I message you with a list of links to my posts containing tips on managing anxiety?
b) while there are bandaid (short term) and longer term meds used for anxiety, the success rate is poor, there's side effects, a lot of people often end up on such meds for decades and only so so success, and well, it's far better if you're able to learn how to manage to deal with the syndrome yourself (and that's ultimately how people get off the meds, those that do)
That said, counselling might be very helpful at this early point (expense is often a major deterrent but perhaps you've free or reduced cost access to such counselling as a student).
It's sounding to me like it's basically nervous tension that escalates out of hand, the awkwardness of vomiting is likely to add to the problem by making it more memorable. I imagine something simple like a travel sickness pill has no impact (and even if it worked, that ignores the underlying problem, social anxiety, which really does need to be faced and resolved, else in some fashion a major problem will surely re-emerge, anxiety's just like that).